Explanation:
(i) Use ideal gas law.
PV = mRT
(1.5 bar × 100 kPa/bar) (2.5 m³) = (2 kg) (0.278 kJ/kg/K) T
T = 674 K
T = 401°C
(ii) The process is isothermal, so the final temperature equals the initial temperature.
(iii) Work for an ideal gas undergoing an isothermal process is:
W = mRT ln (V / V₀)
W = (2 kg) (0.278 kJ/kg/K) (674 K) ln (1/3)
W = -412 kJ
(iv) Heat transferred is Q = mCΔT. Since temperature is constant for an isothermal process, no heat is transferred.
